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4808507664 = 243177389907
BaseRepresentation
bin1000111101001110…
…00000000100010000
3110102010001111110110
410132213000010100
534321434221124
62113051001320
7230105432532
oct43647000420
913363044413
104808507664
112048305a84
12b22439240
135b8292b0c
14338895852
151d222d029
hex11e9c0110

4808507664 has 160 divisors (see below), whose sum is σ = 13497528960. Its totient is φ = 1469546496.

The previous prime is 4808507659. The next prime is 4808507689. The reversal of 4808507664 is 4667058084.

It is a super-3 number, since 3×48085076643 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5301099 + ... + 5302005.

It is an arithmetic number, because the mean of its divisors is an integer number (84359556).

Almost surely, 24808507664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4808507664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748764480).

4808507664 is an abundant number, since it is smaller than the sum of its proper divisors (8689021296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4808507664 is a wasteful number, since it uses less digits than its factorization.

4808507664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 4808507664 is about 69343.4038968379. The cubic root of 4808507664 is about 1687.8613592773.

The spelling of 4808507664 in words is "four billion, eight hundred eight million, five hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 73 89 102 136 146 178 204 219 267 272 292 356 408 438 534 584 712 816 876 907 1068 1168 1241 1424 1513 1752 1814 2136 2482 2721 3026 3504 3628 3723 4272 4539 4964 5442 6052 6497 7256 7446 9078 9928 10884 12104 12994 14512 14892 15419 18156 19491 19856 21768 24208 25988 29784 30838 36312 38982 43536 46257 51976 59568 61676 66211 72624 77964 80723 92514 103952 110449 123352 132422 155928 161446 185028 198633 220898 242169 246704 264844 311856 322892 331347 370056 397266 441796 484338 529688 645784 662694 740112 794532 883592 968676 1059376 1125587 1291568 1325388 1372291 1589064 1767184 1937352 2251174 2650776 2744582 3178128 3376761 3874704 4116873 4502348 5301552 5489164 5892779 6753522 8233746 9004696 10978328 11785558 13507044 16467492 17678337 18009392 21956656 23571116 27014088 32934984 35356674 47142232 54028176 65869968 70713348 94284464 100177243 141426696 200354486 282853392 300531729 400708972 601063458 801417944 1202126916 1602835888 2404253832 4808507664